The Brauer-Suzuki-Wall theorem

Brauer – Siegel Theorem for Elliptic Surfaces

The classical Brauer–Siegel theorem, which is one of the milestones of the number theory of the past century, reflects deep connections between algebraic, arithmetical, analytic, and (in the function field case) geometric properties of global fields. Not only is the theorem a working tool in a variety of problems concerning number and function fields, but the underlying ideas have been recently...

Burnside-Brauer Theorem for Table Algebras

In the character theory of finite groups the Burnside-Brauer Theorem is a wellknown result which deals with products of characters in finite groups. In this paper, we first define the character products for table algebras and then by observing the relationship between the characters of a table algebra and the characters of its quotient, we provide a condition in which the products of characters...

A Suzuki Type Fixed-Point Theorem

A New Suzuki Type Fixed Point Theorem

In this paper we prove a fixed point result for F-Suzuki contractions.

Infinite Global Fields and the Generalized Brauer–siegel Theorem

The paper has two purposes. First, we start to develop a theory of infinite global fields, i. e., of infinite algebraic extensions either of Q or of Fr(t). We produce a series of invariants of such fields, and we introduce and study a kind of zeta-function for them. Second, for sequences of number fields with growing discriminant, we prove generalizations of the Odlyzko–Serre bounds and of the ...